105427541 has 8 divisors (see below), whose sum is σ = 108972600. Its totient is φ = 101919168.

The previous prime is 105427519. The next prime is 105427571. The reversal of 105427541 is 145724501.

It can be written as a sum of positive squares in 4 ways, for example, as 16200625 + 89226916 = 4025^2 + 9446^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105427541 is a prime.

It is a super-2 number, since 2×105427541² = 22229932802613362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105427571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (13621575).

Almost surely, 2^105427541 is an apocalyptic number.

It is an amenable number.

105427541 is a deficient number, since it is larger than the sum of its proper divisors (3545059).

105427541 is a wasteful number, since it uses less digits than its factorization.

105427541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 105427541 is about 10267.7914373053. The cubic root of 105427541 is about 472.4088507771.

The spelling of 105427541 in words is "one hundred five million, four hundred twenty-seven thousand, five hundred forty-one".